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dc.creatorCaraballo Garrido, Tomás
dc.creatorMárquez Durán, Antonio Miguel
dc.creatorRivero Garvía, Luis Felipe
dc.date.accessioned2016-01-18T09:33:52Z
dc.date.available2016-01-18T09:33:52Z
dc.date.issued2015
dc.identifier.issn0218-1274es
dc.identifier.issn1793-6551es
dc.identifier.urihttp://hdl.handle.net/11441/32727
dc.description.abstractIn this paper, it is analyzed a non-classical non-autonomous di_usion equation with delay. First, the well-posedness and the existence of a local solution is proved by using a _xed point theorem. Then, the existence of solutions de_ned globally in future is ensured. The asymptotic behaviour of solutions is analyzed within the framework of pullback attractors as it has revealed a powerful theory to describe the dynamics of non-autonomous dynamical systems. One di_culty in the case of delays concerns the phase space that one needs to consider to construct the evolution process. This yields to the necessity of using a version of the Ascoli-Arzel_a theorem to prove the compactness.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.relation.ispartofInternational Journal of Bifurcation and Chaos: in Applied Sciences and Engineering, 25(14), 1540021es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDelay equationses
dc.subjectpullback attractorses
dc.subjectnon-autonomous problemses
dc.subjectevolution processeses
dc.subjectnon-classical di usion equationses
dc.titleWell--posedness and asymptotic behaviour for a non-classical and non-autonomous diffusion equation with delayes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.identifier.doihttp://dx.doi.org/10.1142/S0218127415400210es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/32727

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